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2220212211021 = 327375801164191
BaseRepresentation
bin100000010011101110111…
…101011100110101001101
321212020202101222020111200
4200103232331130311031
5242333443311223041
64415541300540113
7316255633262010
oct40235675346515
97766671866450
102220212211021
1178664aa04312
122ba3606b1639
131314991cc50c
147965d0d7377
153cb45b3a1b6
hex204eef5cd4d

2220212211021 has 48 divisors (see below), whose sum is σ = 3764841120768. Its totient is φ = 1234183392000.

The previous prime is 2220212211017. The next prime is 2220212211043. The reversal of 2220212211021 is 1201122120222.

It is a happy number.

2220212211021 is a `hidden beast` number, since 2 + 220 + 212 + 211 + 0 + 21 = 666.

It is not a de Polignac number, because 2220212211021 - 22 = 2220212211017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220212210985 and 2220212211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220212211071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13440036 + ... + 13604226.

It is an arithmetic number, because the mean of its divisors is an integer number (78434190016).

Almost surely, 22220212211021 is an apocalyptic number.

2220212211021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2220212211021 is a deficient number, since it is larger than the sum of its proper divisors (1544628909747).

2220212211021 is a wasteful number, since it uses less digits than its factorization.

2220212211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170042 (or 170039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2220212211021 its reverse (1201122120222), we get a palindrome (3421334331243).

The spelling of 2220212211021 in words is "two trillion, two hundred twenty billion, two hundred twelve million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 5801 17403 40607 52209 121821 164191 214637 365463 492573 643911 1149337 1477719 1502459 1931733 3448011 4507377 6075067 10344033 13522131 18225201 42525469 54675603 127576407 382729221 952471991 2857415973 6667303937 8572247919 20001911811 35241463667 60005735433 105724391001 246690245669 317173173003 740070737007 2220212211021